even though in the supergravity description the solution has no event horizon, one can argue for the presence of a `stretched horizon' [1]} and for this reason the solution it is often dubbed a 'small BH' [2]}. Adding one more charge \(K\)  allows to reproduce the asymptotic behaviour of `large' (BPS) BHs in \(D=5\)  with
\(d(P,W, K) = \exp {4\pi \sqrt{KPW}} = e^{S_{BH}}\) 
